Expressions of content-parametrized Schur multiple zeta-functions via the Giambelli formula

2023/01/14 by Kohji Matsumoto, Matsumoto, Kohji, Maki Nakasuji +1 · 1 citation
Chemistry · Mathematics · #11M32 #17B22 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #FOS: Mathematics #Molecular spectroscopy and chirality #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2301.05801

openalex publication_date 2023/01/14 · openalex created_date 2023/01/19 · openalex updated_date 2026/07/28

Abstract

In this article, we consider the expressions for content-parametrized Schur multiple zeta-functions in terms of multiple zeta-functions of Euler-Zagier type and their star-variants, or in terms of modified zeta-functions of root systems. First of all, we focus on the Schur multiple zeta-function of hook type. And then, applying the Giambelli formula and induction argument, we obtain the expressions for general content-parametrized Schur multiple zeta-functions.

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